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Finding the Third Proportional to 1,975,838,681 and 4,313,745,346

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Solution

The third proportional to 1,975,838,681 and 4,313,745,346 is: 9,417,974,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,838,681 : 4,313,745,346 = 4,313,745,346 : x
  2. Step 2: Convert to fraction form
    1,975,838,681/4,313,745,346 = 4,313,745,346/x
  3. Step 3: Cross multiply
    1,975,838,681x = 4,313,745,346 × 4,313,745,346
  4. Step 4: Simplify right side
    1,975,838,681x = 18,608,398,910,136,659,968
  5. Step 5: Solve for x
    x = 18,608,398,910,136,659,968/1,975,838,681
  6. Step 6: Final answer
    x = 9,417,974,801.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.